(*) If tan A =(x sin B )/(1-xcosB) and tan B =( y sin A) / (1-y cos A) then sin A / sin B =

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Y RAJYALAKSHMI · Answer

tanA = xsinB/(1 – xcosB) = > cotA = (1 – xcosB)/xsinB = 1/xsinB – cotB cotA + cot B = 1/xsinB …......(1) tanB = ysinA / (1 – ycosA) => cotB = (1 – ycosA)/ysinA = 1/ysinA – cotA cotB + cotA = 1/ysinA …......(2) from (1) & (2), we get 1/xsinB = 1/ysinA => sinA/sinB = x/y

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(*) If tan A =(x sin B )/(1-xcosB) and tan B =( y sin A) / (1-y cos A) then sin A / sin B =

(*)
If tan A =(x sin B )/(1-xcosB) and tan B =( y sin A) / (1-y cos A) then sin A / sin B =

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(*) If tan A =(x sin B )/(1-xcosB) and tan B =( y sin A) / (1-y cos A) then sin A / sin B =

(*)If tan A =(x sin B )/(1-xcosB) and tan B =( y sin A) / (1-y cos A) then sin A / sin B =

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(*)
If tan A =(x sin B )/(1-xcosB) and tan B =( y sin A) / (1-y cos A) then sin A / sin B =